Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding Sig1 Sig2 orientation of the element with Sh

Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding Sig1 Sig2 orientation of the element with Sh

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The rod has a diameter of 40 mm. It is subjected to the force system F₂ = 1900 N, Fy=700 N, F₂ = 900…

A: The rod diameter d =40 mm = 0.04mThe force systemFx= 1900NFy= 700NFz= 900NFindThe Normal stress act…

Q: Determine the normal stress that acts at point B.

A: The rod diameter d =40 mm = 0.04m The force system Fx= 1390N Fy= 510N Fz= 835N Find a) The Normal…

Q: occur in the n-n plane of the figure. Present a diagram showing such stresses on the n-n plane.…

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

Q: The state of stress of an element is shown in the Figure 3. Using the method of Mohr's circle.…

Q: The stresses shown on the left below act on horizontal and vertical planes through a point on the…

A: Principal stress is defined as the maximum or minimum value of normal stresses and they act on that…

Q: Determine the normal stress at bar AC. Use diameter of bar AC = 215 mm. B 500 N 2 m -J.- 2 m 451

A: According to the given dataThe diameter of the AC is 215mmWe need to findStress in the member AC

Q: The state of stress at a point in a member is shown on the element. Solve the problem using the…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the…

Q: Draw and stress tensonr with the following characteristics The stress cube visualization at point…

Q: The state of stress at a point under plane stress condition is Ox = 150 MPa, Oy = 50 MPa, Txy = 20…

A: Mohr's circle is a two dimensional graphical representation of state of stress at a point. Mohr's…

Q: The normal stress exerted on the oblique face of the shaded triangular element is

Q: The rod has a diameter of 40 mm. It is subjected to the force system F₂ = 1300 N, F, = 600 N, F₂ =…

A: The rod diameter d =40 mm = 0.04mThe force systemFx= 1300NFy= 600NFz= 900NFindThe Normal stress act…

Q: A state of stress at a point A is given by σx = 25 MPa, σy = 122 MPa, and τxy = 60 MPa. Determine…

Q: determine the normal and shear stress that act perpendicular and parellel to the grain if the board…

A: Given data

Q: Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with…

A: As per our guidelines we are supposed to solve only one question if multiple questions are asked .…

Q: The following stress condition is applied on a material: 400 200 0 o 200-300 0 MPa 000 Determine the…

Q: DETERMINE STRESS (MPa) OF MEMBER EG in the truss shown. Input your answer in two (2) decimal places…

Q: The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5)…

A: Given:The stress in the x plane is the stress in the y plane is The shear stress in the x-y plane is…

Q: -60* At a point in a stressed body, the stresses on two perpen- dicular planes are as shown in Fig.…

Q: At a point in a strained material, if two mutually perpendicular tensile stresses of 200 kg/cm² and…

Q: The X- axis strains with oriented angle of the bone surface are shown in table X- axis strain (×…

Q: The following Mohr's circle is for a point in a structural member that is subjected to plane stress.…

A: Given data:- Mohr circle of point To find:-The absolute maximum shear stress

Q: The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4)…

Q: The state of stress at a point in a member is shown on the rectangular stress element where the…

A: The state of stress at a point in a member is shown on the rectangular stress element where the…

Q: Determine the equivalent state of stresses in an element at the point representing (a) the principal…

Q: Determine the equivalent state of stress on an element at the same point which represents the…

A: According to the given dataWe need to findAverage normal stressMaximum in-plane shear…

Q: -80 MPa and T = 60 MPa The loading on the component is increased so that stresses are increased to…

A: GIVEN:maximum normal stress=300mpamaximum shear stress=200mpa

Q: in Fig. P2-89. U

A: given:

Q: The state of stress at a point in a member is shown in Figure Q1(a). Determine the stress components…

Q: Determine the max pressure that the piston-cylinder can withstand, P. Determine the magnitude of max…

A: GivenThe circumferential stress of the cylinder The inner radius of the cylinder The thickness of…

Q: Calculate the values of ol and o3 in the rock if the differential stress is 40 MPa and the center is…

A: differential stress = 40 MPa. (diameter of the Mohr's circle).Therefore, the radius of the Mohr's…

Q: Determine the equivalent state of stress on an element at the same Sig1 point which represents (a)…

Q: Part B - Principal Strains on the Oriented Element Determine the in-plane principal strains on the…

Q: Determine stress components acting on the inclined plane AB shown in Figure 1. The directions of the…

A: Given: The stress in x-direction, σx = -70 MPa The stress in y-direction, σy = 50 MPa The shear…

Q: The figure depicts the state of plane stress at a point. Sketch Mohr's circle for stress. Indicate…

Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

Determine the equivalent state of
stress on an element at the same
Sig1
point which represents (a) the
principal stress, and (b) the
maximum in-plane shear stress
and the associated average
normal stress. Also, for each case,
determine the corresponding
Sig2
orientation of the element with
Sh
respect to the element shown and
sketch the results on the element.
Note: Sig1 and Sig2 are normal
stresses and Sh is the shear stress
Sig 1=17 Mpa
Sig 2=5 Mpa
Sh= 12 Mpa

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

2- The state of plane stress is represented by the stress element below. Draw the Mohr's circle, determine the principal stresses, the maximum shear stresses, and draw the corresponding stress elements. Find the rotation angle of element so that the normal stress of 80 MPa turns to tensile stress of 40 MPa?. 50 MPa 80 MPa 80 MPa A 25 MPa 50 MPa
An 6 mm diameter aluminum rod has lines scribed on it that are exactly 10 cm apart. After a 2.08 kN force has been applied, the separation between the lines has increased to l' = 10.009 cm. 30 cm 10 cm -F l' a. Calculate the stress and strain in the rod. (Express your answer for stress using two significant figures.) |MPa (Express your answer for strain using four decimal spaces.) E = b. To what total length has the rod stretched? (Express your answer using three decimal places.) L final cm
The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values = -165 µμe, e = -155 μe, e = 50 μe, E = 10,600 ksi, and v=0.33, determine (a) the stress components o,,o,, and ry at the point. (b) the principal stresses and the maximum in-plane shear stress at the point; on paper, show these stresses on an appropriate sketch that indicates the orientation of the principal planes and the planes of maximum in-plane shear stress. (c) the magnitude of the absolute maximum shear stress at the point. 45° 45°
A metal block of cross-section area A and length L is subject to a tensile stress of S. The block elongates by a length of 0.002L. Another block made from the same metal is subject to the same tensile stress. If this block has a cross-section area of 2A and a length of 2L, determine the elongation of the block.
Determine the shear stress of the cylinder pivot pin (φ25mm). The clamping force of the pliers is 6000N. The dimensions of the structure are: X1 = 10 mm X2 = 120 mm Y1 = 110 mm Y2 = 798 mm Use the units [N, mm], ie the answer comes in MPa !!! Please enter a numeric value only !!
A structural member is subjected to the plane stress condition. The state of stress at a point of the member is shown in the figure. 45 MP (1) Draw the Mohr's circle for this 2D state of stress. (2) Determine the principal stresses, the maximum in-plane shear stresses and associated normal stresses acting at this point, (3) Represent these critical stresses on new stress elements, and indicate the angles of rotation of the new stress elements with respect to the original stress elements. 25 MP
Solve correctly please.
USE the mohr's circle method to determine the stress components acting on the inclined plane AB USE THE MOHR'S CIRCLE METHODE NOT THE ONE IN THE QUESTION
The state of in-plane stress at a point on an element of material is shown. Let |σx| = 370 MPa, |σy| = 130 MPa, and |τxy| = 85.0 MPa. Use this information to represent the state of stress of the same point that is rotated through an angle of θ = 25.0.
The solid rod is subjected to the loading shown. Take F = 100 kN, P = 10 kN. Determine the state of stress at point C. A) Determine the normal stress at point C. B) Determine the shear stress (τxy)C at point C. C) Determine the shear stress (τxz)C at point C.
The state of stress at a point in a member is shown on the element. Take σx= 98 MPa, σy= 50 MPa, τxy= 35 MPa in the directions shown. Solve the problem using the stress transformation equations. A) Determine the normal stress component acting on the inclined plane AB. B) Determine the shear stress component acting on the inclined plane AB.
The question is related to Mohr’s circle and is attached as an image.